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214297713672 = 233721131612619
BaseRepresentation
bin1100011110010100100…
…0111001110000001000
3202111010202221210110020
43013211020321300020
512002340203314142
6242240315420440
721324332340300
oct3074510716010
9674122853406
10214297713672
1182979522099
1235647a54720
1317292508293
14a52cd34600
1558937b3cec
hex31e5239c08

214297713672 has 96 divisors (see below), whose sum is σ = 628728285600. Its totient is φ = 60686040576.

The previous prime is 214297713533. The next prime is 214297713719. The reversal of 214297713672 is 276317792412.

214297713672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673422 + ... + 939197.

It is an arithmetic number, because the mean of its divisors is an integer number (6549252975).

Almost surely, 2214297713672 is an apocalyptic number.

It is an amenable number.

214297713672 is an abundant number, since it is smaller than the sum of its proper divisors (414430571928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214297713672 is a wasteful number, since it uses less digits than its factorization.

214297713672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612755 (or 1612744 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The spelling of 214297713672 in words is "two hundred fourteen billion, two hundred ninety-seven million, seven hundred thirteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 113 147 168 196 226 294 339 392 452 588 678 791 904 1176 1356 1582 2373 2712 3164 4746 5537 6328 9492 11074 16611 18984 22148 33222 44296 66444 132888 1612619 3225238 4837857 6450476 9675714 11288333 12900952 19351428 22576666 33864999 38702856 45153332 67729998 79018331 90306664 135459996 158036662 182225947 237054993 270919992 316073324 364451894 474109986 546677841 632146648 728903788 948219972 1093355682 1275581629 1457807576 1896439944 2186711364 2551163258 3826744887 4373422728 5102326516 7653489774 8929071403 10204653032 15306979548 17858142806 26787214209 30613959096 35716285612 53574428418 71432571224 107148856836 214297713672